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Analytical Basal-State Model of the Glucose, Insulin, and C-Peptide Systems for Type 2 Diabetes. [PDF]

Bioengineering (Basel)
Chichester CC, Yamakuchi M, Takenouchi K, Hashiguchi T, Maywar DN.   +4 more
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Determinant of a matrix over min-plus algebra

Journal of Discrete Mathematical Sciences and Cryptography, 2021
Max-plus algebra is a set ℝmax = ∪ ℝ {ϵ}, with ℝ is the set of all real numbers and e = -∞ equipped with ⊕ (maximum) and ⊗ (plus) operation.
null Siswanto, A. Gusmizain, S. Wibowo
exaly   +2 more sources

Cayley-Hamilton theorem in the min-plus algebra

Journal of Discrete Mathematical Sciences and Cryptography, 2021
Max-plus algebra is the set of ℝϵ = ℝ ∪ {ϵ} where ℝ is a set of all real numbers and ϵ = -∞ which is equipped with max (⊕) and plus (⊗) operations. The structure of max-plus algebra is semi-field.
null Siswanto, N. Nurhayati, null Pangadi   +2 more
exaly   +2 more sources

Design of control laws for timed event graphs networks subject to mutual exclusion constraints in Min-Plus algebra

European Journal of Control, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Said Amari
exaly   +3 more sources

Matrix Multiply-Add in Min-plus Algebra on a Short-Vector SIMD Processor of Cell/B.E.

2010 First International Conference on Networking and Computing, 2010
It is well-known that the all-pairs shortest paths problem has a similar algorithmic characteristic to the classical matrix-matrix multiply-add (MMA) problem, one of the differences between the two problems is in the underlying algebra: the matrix multiply-add uses linear (+, x)-algebra whereas the all-pairs shortest paths problem uses (min, +)-algebra.
Kazuya Matsumoto, Stanislav G Sedukhin
exaly   +2 more sources

Control laws synthesis to satisfy generalized mutual exclusion constraints for timed event graphs networks using min-plus algebra

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Said Amari, Mohamed Haddar
exaly   +4 more sources

The existence of solving system of linear equations in min-plus algebra

AIP Conference Proceedings
Hanifa Fauziah Nurrahma, null Siswanto
exaly   +2 more sources

The characteristic equation of the matrix over min-plus algebra

Journal of Interdisciplinary Mathematics, 2023
Max-plus algebra is one of many idempotent semi-rings. The max-plus algebraic structure is semi field while the conventional algebra is a field. Because of their similar structure, various properties and concepts in the conventional algebra such as characteristic equations have max plus algebraic equivalence. The characteristic equation has been proved
openaire   +1 more source

Modeling of distributed systems based on a Generalized Min Plus Algebra

IFAC Proceedings Volumes, 1999
Abstract In this article a model of the communication structure in a distributed system is presented. The distributed system is described by an object-oriented model containing objects with input and output signal nodes and signal paths between these nodes. Signal rates represent the information flow through the modeled structure.
Berger, Torsten, Thierer, Carsten, Kiencke, Uwe   +2 more
openaire   +1 more source

Einsatz der Max-Plus/Min-Plus Algebra zur automatisierten Sicherheitsanalyse (The Application of Max-Plus/Min-Plus Algebra for an Automated Safety Analysis)

at - Automatisierungstechnik, 2003
Abstract In dem vorliegenden Artikel wird ein Verfahren zur binären Beschreibung von verteilten ereignisdiskreten Systemen vorgestellt. Dieses wird als Grundlage für eine Sicherheitsanalyse in einer frühen Phase der Systementwicklung und zur automatisierten Ermittlung von Fehlerabhängigkeiten eingesetzt.
Wolfgang Längst, Andreas Lapp, Kathrin Stübbe, Jürgen Schirmer, Dieter Kraft   +4 more
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